How does the exponential function behave in p-adic settings?

Ralph Showalter retired in 2003 as Blumberg Centennial Professor Emeritus in Mathematics from The University of Texas at Austin, where he was a founding member ... Research Focus ... My research has focused on the topology and symmetries of manifolds of finite and infinite dimensions, and on the related topics of polyhedra, ... Progress testing mathematics skills in daily life and workplace situations. Difficulty Level, Beginning ABE literacy (Level A) to Adult Secondary (Level E). I am a profesor in the department of mathematics at the University of Michigan. I am married, and have three kids. Research. I enjoy algebraic problems with a ... Mar 17, 2025 ... e, mathematical constant that is the base of the natural logarithm function f(x) = ln x and of its related inverse, the exponential function ... What is e on a calculator? – e to the x. e is one of the most important constants in mathematics. We cannot write e as a fraction with integer numerator and ... Math books and even my beloved Wikipedia describe e using obtuse jargon: The mathematical constant e is the base of the natural logarithm. And when you look ... So, what is e? The definition of Euler's number (e) is the constant such that ... Apr 13, 2022 ... It is sometimes called Euler's constant after the German mathematician Leonhard Euler, although he was not the first to discover it. Definition. Euler's Formula states that for any real x x ,. eix=cosx+isinx, e i x = cos ⁡ x + i sin ⁡ x ,. where i i is the imaginary unit, i=√−1 i = − 1 .